Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6860/665, 9555/3518 quickly i.e. 267540 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6860/665, 9555/3518 is 267540.
LCM(6860/665, 9555/3518) = 267540
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6860/665,9555/3518
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 6860,9555
Least Common Multiple of Numerators i.e. LCM of 6860,9555 is 267540.
GCF of Denominators means GCF of 665,3518 as per the given fractions.
GCF of 665,3518 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6860,9555
5 | 6860, 9555 |
7 | 1372, 1911 |
7 | 196, 273 |
28, 39 |
∴ So the LCM of the given numbers is 5 x 7 x 7 x 28 x 39 = 267540
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 6860,9555 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6860,9555) = 245
common factors(in case of two or more numbers have common factors) = 1
GCF(6860,9555) x common factors =245 x 1 = 245
LCM(6860,9555) = ( 6860 × 9555 ) / 245
LCM(6860,9555) = 65547300 / 245
LCM(6860,9555) = 267540
Lets's calculate GCF of 665,3518
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 267540/1
Therefore the LCM of Fractions 6860/665,9555/3518 is 267540
Factors of 665
List of positive integer factors of 665 that divides 665 without a remainder.
1,5,7,19,35,95,133,665
Factors of 3518
List of positive integer factors of 3518 that divides 3518 without a remainder.
1,2,1759,3518
Greatest Common Factor
We found the factors 665,3518 . The biggest common factor number is the GCF number.
So the greatest common factor 665,3518 is 1.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 6860/665, 9555/3518?
Answer: LCM of Numerators as per given numbers 6860/665, 9555/3518 is
LCM of Numerators i.e. for 6860,9555 is 267540
GCF of denominators i.e. for 665,3518 is 1.
Thus, LCM of Fractions is 267540.Finally, LCM of Fractions for 6860/665, 9555/3518 is 267540.